World of Nonlinear Systems
The aim of this text is to illustrate how scientists and engineers are using nonlinear dynamical (evolving with time) equations to mathematically model many of the more interesting and important phenomena that are observed in the world around us. If the time variable can be treated as continuous, these model systems are described by ordinary or partial differential equations (ODEs or PDEs). If the time is regarded as discrete (e.g., due to measurements or observations being made at finite time intervals), the models then involve difference equations. If this sounds mathematically formidable, don’t panic! If you have a working knowledge of basic calculus (derivatives, integrals, Taylor expansions, etc.) and been introduced to linear ODEs, you should have no dificulty in following the mathematical treatment in this book.
KeywordsDifference Equation Solution Curve Logistic Curve Forward Euler Method Verhulst Model
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